%0 Journal Article %T Controllability Analysis for Multirotor Helicopter Rotor Degradation and Failure %A Guang-Xun Du %A Quan Quan %A Binxian Yang %A Kai-Yuan Cai %J Computer Science %D 2014 %I arXiv %X This paper considers the controllability analysis problem for a class of multirotor systems subject to rotor failure/wear. It is shown that classical controllability theories of linear systems are not sufficient to test the controllability of the considered multirotors. Owing to this, an easy-to-use measurement index is introduced to assess the available control authority. Based on it, a new necessary and sufficient condition for the controllability of multirotors is derived. Furthermore, a controllability test procedure is approached. The proposed controllability test method is applied to a class of hexacopters with different rotor configurations and different rotor efficiency parameters to show its effectiveness. The analysis results show that hexacopters with different rotor configurations have different fault-tolerant capabilities. It is therefore necessary to test the controllability of the multirotors before any fault-tolerant control strategies are employed. %U http://arxiv.org/abs/1403.5986v3